Question

the ratio of the length of a rectangle to its width 3:2. Give 3 possible dimensions of the rectangle in cm

Answer 1

1.) 3:2 → length = 3cm ; width = 2cm

2.) 6:4 → length = 6cm ; width = 4cm

3.) 9:6 → length = 9cm ; width = 6cm

Explanation:

The ratio 3:2 is length:width. This means that if you were to simplify the values by a common factor, the result would always be
`(3)/(2) = (length)/(width)`.

To find three dimensions, pick any random three numbers and multiply one by one to both numerator and denominator:

`1,2,3\\\\(3)/(2)((1)/(1) )= (3)/(2) \\\\(3)/(2) ((2)/(2) )=(6)/(4)\\\\(3)/(2) ((3)/(3) )=(9)/(6)`

Convert the given ratios to length and width:

1.) 3:2 → length = 3cm ; width = 2cm

2.) 6:4 → length = 6cm ; width = 4cm

3.) 9:6 → length = 9cm ; width = 6cm

If you were to simplify each, the result would be 3:2.

:Done